Reteaching Simplifying Radicals You can remove perfect-square factors from a radicand. ... Simplify completely. Give answers in simplified radical form
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LINEAR ALGEBRA Jim Hefferon Third edition http://joshua.smcvt.edu/linearalgebra
[11.1:
Write your questions here!
SIMPLIFYING RADICALS ]
Let’s do some quick review:
Radicals?
Square Roots?
Simplifying Square Roots:
𝑎𝑏 = 𝑎 ∙ 𝑏
To simplify, we will use the ________________________________ with our trusty Perfect-Squares number line:
___________________________________________ Start at the number given in the problem. ________________ each perfect square on the top of the number line until you find a __________ of the given number. Write that number first under a radical. Write _________________________ second under a radical. Simplify _____________ written. (Because it is a perfect sqaure… it will ALWAYS simplify to a whole number!) Examples Simplify the following radical expressions:
1.
12
2.
98
3.
200
1
[11.1:
Write your questions here!
4.
33
5.
2 18
6.
10 108
8.
− 1000
9.
- 26
2
Now, summarize your notes here!
7.
−4 300
SIMPLIFYING RADICALS ]
Quick Review: Solve the quadratic equations using the given method. 1.
Solve by factoring:
x2 - 3x = -2
2. Solve by double factoring:
4x2 – 4 = 0
3. Solve by double factoring::
2x2 - 18x + 40 = 0
Algebra 1
Practice 11.1
Name___________________________________
Simplify. 1)
2)
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5)
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7)
8)
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Worksheet by Kuta Software LLC
[11.1:
Simplify the following radicals:
1.
SIMPLIFYING RADICALS ]
48
2.
3
8 72
3. The perimeter of a square is given by the function 𝑃 = 4 𝑎. Find the perimeter of a square that has an area that measures 225 m2.
4. The time, t , in seconds it takes an object to free-‐fall a distance, d , is given by the function 𝑡 =
!
𝑑. (This assumes no air resistance, of course!) Find the amount of time it would take a 25lb bowling ball to fall a distance of 16.
5. Let’s do some awesome graphing! Let 𝑓 𝑥 = 𝑥 .
Fill in the table of values and graph the points
x 0
𝑥
4 9 16 25 49 64 What is the domain (x-values) of this graph?
